A contractor is building a small office building. The contract has a fixed price of $$500,000$ with materials costing $$300,000$ and labour costing $$200,000.$ The planned duration for the project is $20$ weeks, and the work rate is to complete $5\%$ of the project each week. Project Budget and Duration: $$ BAC $($Budget at Completion$)$: $$500,000$ Planned Duration: $20$ weeks Status at Week $10$: $$ Actual Cost $($AC$)$: $$260,000$ Earned Value $($EV$)$: $$225,000$ Planned Value $($PV$)$: $$250,000($a$)$ Calculate the estimated cost of the project at completion along with the estimated duration of the project. $(2$ Marks$)($b$)$ Is the project over or under budget? $(1$ Mark$)$